461524451057561 has 32 divisors (see below), whose sum is σ = 497954758203936. Its totient is φ = 426162032640000.

The previous prime is 461524451057477. The next prime is 461524451057569. The reversal of 461524451057561 is 165750154425164.

It can be written as a sum of positive squares in 16 ways, for example, as 24552461041936 + 436971990015625 = 4955044^2 + 20903875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461524451057561 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461524451057497 and 461524451057506.

It is not an unprimeable number, because it can be changed into a prime (461524451057569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9403297541 + ... + 9403346621.

It is an arithmetic number, because the mean of its divisors is an integer number (15561086193873).

Almost surely, 2^{461524451057561} is an apocalyptic number.

It is an amenable number.

461524451057561 is a deficient number, since it is larger than the sum of its proper divisors (36430307146375).

461524451057561 is a wasteful number, since it uses less digits than its factorization.

461524451057561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72173.

The product of its (nonzero) digits is 20160000, while the sum is 56.

The spelling of 461524451057561 in words is "four hundred sixty-one trillion, five hundred twenty-four billion, four hundred fifty-one million, fifty-seven thousand, five hundred sixty-one".